Question

The sum of two integers is 41 and their difference is 5. Find the integers

Answer 1

23 and 18.

Explanation:

if the 1st integer is 'x' and the 2d integer is 'y', then the condition 'The sum of two integers is 41' can be re-written as x=y=41; the condition 'their difference is 5' can be re-written as x-y=5;

Then it is possible to make up the system of two equations:

`\left \{ {{x+y=41} \atop {x-y=5}} \right. = > \ \left \{ {{x=23} \atop {y=18}} \right.`

finally, 23 & 18.